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Finding the Third Proportional to 108,593 and 253,727

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Solution

The third proportional to 108,593 and 253,727 is: 592,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,593 : 253,727 = 253,727 : x
  2. Step 2: Convert to fraction form
    108,593/253,727 = 253,727/x
  3. Step 3: Cross multiply
    108,593x = 253,727 × 253,727
  4. Step 4: Simplify right side
    108,593x = 64,377,390,529
  5. Step 5: Solve for x
    x = 64,377,390,529/108,593
  6. Step 6: Final answer
    x = 592,831.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.